Computation of Energy Release Rates for a Nearly Circular Crack

<table>The energy release rate, <svg height="13.55" id="M287" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 32.412498 13.55" width="32.412498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐺</tspan>
<tspan style="font-size: 12.50px; " x="9.1772022" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">𝜑</tspan>
<tspan style="font-size: 12.50px; " x="21.6677" y="0">)</tspan>
</text>
</g>
</g>
</svg> for <svg height="16.775" id="M288" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 94.6875 16.775" width="94.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.775)">
<g transform="translate(72,-58.58)">
<text transform="matrix(1,0,0,-1,-71.95,60.96)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑓</tspan>
<tspan style="font-size: 12.50px; " x="6.9391651" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="11.102664" y="0">𝜁</tspan>
<tspan style="font-size: 12.50px; " x="17.779266" y="0">)</tspan>
<tspan style="font-size: 12.50px; " x="25.418598" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="37.458988" y="0">𝜁</tspan>
<tspan style="font-size: 12.50px; " x="46.923759" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="58.263981" y="0">𝑐</tspan>
<tspan style="font-size: 12.50px; " x="64.077873" y="0">𝜁</tspan>
</text>
<text transform="matrix(1,0,0,-1,-1.17,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
</g>
</g>
</svg> at various <svg height="7.1875" id="M289" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.3874998 7.1875" width="7.3874998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑐</tspan>
</text>
</g>
</g>
</svg><i>. </i></table>

Mathematical Problems in Engineering

Computation of Energy Release Rates for a Nearly Circular Crack

Figure 7